Question Number 142430 by Mathspace last updated on 31/May/21 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{log}^{\mathrm{2}} {x}}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 31/May/21 $$\int_{\mathrm{0}}…
Question Number 11356 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 21/Mar/17 Answered by mrW1 last updated on 21/Mar/17 $${p}=\sqrt{{x}} \\ $$$${q}=\sqrt{{y}} \\ $$$${p}^{\mathrm{2}} +{q}={a} \\ $$$${q}^{\mathrm{2}} +{p}={b}…
Question Number 142425 by Mathspace last updated on 31/May/21 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{log}^{\mathrm{3}} {x}}{\mathrm{1}+{x}^{\mathrm{3}} }{dx} \\ $$ Answered by mathmax by abdo last updated on 02/Jun/21…
Question Number 11355 by uni last updated on 21/Mar/17 $$\mathrm{z}+\mathrm{3}−\mathrm{2i}=\left(\mathrm{1}+\mathrm{i}\right)×\overset{−} {\mathrm{z}}\:\Rightarrow\mid\mathrm{z}\mid=? \\ $$ Answered by sou1618 last updated on 22/Mar/17 $${set}\:{a},{b}:\:\mathbb{R} \\ $$$$\:\:{z}={a}+{bi}\:,\bar {{z}}={a}−{bi} \\…
Question Number 142424 by Mathspace last updated on 31/May/21 $$\left.\mathrm{2}\right){calculate}\:\sum_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} \:{sin}\left(\frac{{k}\pi}{{n}}\right)\:\:\:\left({n}>\mathrm{2}\right) \\ $$$$\left.\mathrm{1}\right)\:{use}\:{Rieman}\:{sum}\:{to}\:{prove} \\ $$$${that}\:\int_{\mathrm{0}} ^{\pi} {log}\left({sinx}\right){dx}=−\pi{log}\mathrm{2} \\ $$ Terms of Service Privacy Policy…
Question Number 76888 by jagoll last updated on 31/Dec/19 $${happy}\:{new}\:{year}\:{sir}\:{to}\:{all}\:{member}\: \\ $$$${this}\:{forum} \\ $$ Commented by ajfour last updated on 31/Dec/19 $${A}\:\boldsymbol{{H}}{appy}\:{New}\:{Year}\:\mathrm{2020} \\ $$$${to}\:{everybody}\:{really}.. \\…
Question Number 11353 by tawa last updated on 21/Mar/17 $$\mathrm{reduce}\:\mathrm{the}\:\mathrm{matrix}\:\mathrm{below}\:\mathrm{to}\:\mathrm{echelon}\:\mathrm{form}\:\mathrm{and}\:\mathrm{then}\:\mathrm{to}\:\mathrm{row}\:\mathrm{canonical}\:\mathrm{form} \\ $$$$\mathrm{A}\:=\:\begin{bmatrix}{\mathrm{2}\:\:\mathrm{4}\:\:\mathrm{2}\:\:−\mathrm{2}\:\:\mathrm{5}\:\:\mathrm{1}}\\{\mathrm{3}\:\:\mathrm{6}\:\:\mathrm{2}\:\:\:\:\:\mathrm{2}\:\:\mathrm{0}\:\:\mathrm{4}}\\{\mathrm{4}\:\:\mathrm{8}\:\:\mathrm{2}\:\:\:\mathrm{6}\:\:−\mathrm{5}\:\mathrm{7}}\end{bmatrix} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142426 by Mathspace last updated on 31/May/21 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{xlogx}}{\left(\mathrm{1}+{x}^{\mathrm{3}} \right)^{\mathrm{2}} }{dx} \\ $$ Answered by mindispower last updated on 01/Jun/21 $${x}\rightarrow\frac{\mathrm{1}}{{x}} \\…
Question Number 11352 by tawa last updated on 21/Mar/17 $$\mathrm{if},\:\:\mathrm{A}\:=\:\mathrm{x}^{\mathrm{2}} \:\mathrm{sin}\:\mathrm{yi}\:+\:\mathrm{z}^{\mathrm{2}} \:\mathrm{cos}\:\mathrm{yj}\:−\:\mathrm{xy}^{\mathrm{2}} \mathrm{k},\:\:\mathrm{find},\:\:\mathrm{dA}\:\: \\ $$ Answered by sm3l2996 last updated on 22/Mar/17 $$\mathrm{dA}=\left(\mathrm{2xsin}\left(\mathrm{y}\right)\mathrm{i}−\mathrm{y}^{\mathrm{2}} \mathrm{k}\right)\mathrm{dx}+\left(\mathrm{x}^{\mathrm{2}} \mathrm{cos}\left(\mathrm{y}\right)\mathrm{i}−\mathrm{z}^{\mathrm{2}}…
Question Number 11351 by tawa last updated on 21/Mar/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{workdone}\:\mathrm{in}\:\mathrm{moving}\:\mathrm{a}\:\mathrm{paticle}\:\mathrm{once}\:\mathrm{around}\:\mathrm{an}\:\mathrm{ellipse}\:\mathrm{C}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{xy}\:\mathrm{plane}.\:\mathrm{if}\:\mathrm{the}\:\mathrm{ellipse}\:\mathrm{has}\:\mathrm{centre}\:\mathrm{at}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{with}\:\mathrm{semi}\:\mathrm{major}\:\mathrm{and}\:\mathrm{semi}\:\mathrm{minor}\:\mathrm{axes}\: \\ $$$$\mathrm{4}\:\mathrm{and}\:\mathrm{3}\:\mathrm{respectively}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com